Question
Amy uses 20N of force to push a lawn mower 10 meters. How much work does she do?
A. 2 J
B. 200 J
C. No work is being done
D. 0.5 J
A. 2 J
B. 200 J
C. No work is being done
D. 0.5 J
Answers
GPT-4o mini
To calculate the work done, we use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this scenario, if we assume that Amy is pushing the lawn mower in the same direction as the force applied (which means \(\theta = 0\) degrees and \(\cos(0) = 1\)), we can simplify the equation to:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Given the values:
- Force \( F = 20 \, N \)
- Distance \( d = 10 \, m \)
Now, plugging in the values:
\[ \text{Work} = 20 \, N \times 10 \, m = 200 \, J \]
So, the amount of work done by Amy is **200 J**.
The correct answer is **B. 200 J**.
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this scenario, if we assume that Amy is pushing the lawn mower in the same direction as the force applied (which means \(\theta = 0\) degrees and \(\cos(0) = 1\)), we can simplify the equation to:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Given the values:
- Force \( F = 20 \, N \)
- Distance \( d = 10 \, m \)
Now, plugging in the values:
\[ \text{Work} = 20 \, N \times 10 \, m = 200 \, J \]
So, the amount of work done by Amy is **200 J**.
The correct answer is **B. 200 J**.